7 Sep
2007
7 Sep
'07
3:04 p.m.
-----Original Message----- From: math-fun-bounces@mailman.xmission.com on behalf of Dan Asimov Sent: Fri 9/7/2007 2:24 PM To: math-fun Subject: [math-fun] Puzzle re maximum perimeter of triangle inscribed in ellipse I recently heard an interesting question via the grapevine: Given an ellipse E in the plane, consider any point A of E. Then two other points B,C of E can be found so that the perimeter of the triangle ABC is maximized. Denote this maximum perimeter by P(A). Prove or disprove: P(A) is necessarily independent of A. --Dan _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun